Macy was asked to give the coordinates of a point that will be located in quadrant IV. She gave the coordinates (–2,3).
Explain the mistake Macy made.
quadrant iv is the bottom right, so the x coordinate would be positive and the y coordinate would be negative
The mistake Macy made is that she gave the coordinates (-2, 3) which are in quadrant II, rather than quadrant IV. In quadrant II, the x-coordinate is negative and the y-coordinate is positive. In quadrant IV, on the other hand, both the x-coordinate and the y-coordinate are negative. So, the correct coordinates for a point in quadrant IV should be something like (-x, -y).
Macy made a mistake because the given coordinates (-2, 3) do not represent a point in quadrant IV.
To understand quadrant IV, let's consider the coordinate system. The coordinate system consists of two perpendicular lines, the x-axis (horizontal) and the y-axis (vertical), which intersect at the origin (0,0).
In quadrant IV, the x-coordinate (horizontal) is positive, and the y-coordinate (vertical) is negative. Therefore, the point in quadrant IV will have positive x-value and negative y-value.
In Macy's case, the x-coordinate is -2, which is negative. This means the point lies to the left of the y-axis, not to the right as it should be in quadrant IV. Additionally, the y-coordinate is 3, which is positive, not negative. Therefore, the coordinates (-2, 3) represent a point in quadrant I, not in quadrant IV.